Smeared branes and the Gubser-Mitra conjecture

Details Smeared branes and the Gubser-Mitra conjecture Smeared branes and the Gubser-Mitra conjecture

2004-05-04

arxiv.org/abs/hep-th/0405026v1

Phys.Rev. D70 (2004) 064014

Physics

High Energy Physics

High Energy Physics - Theory

7p, 2 figures

Scientific paper

10.1103/PhysRevD.70.064014

We show that smeared brane solutions, where a charged black p-brane is smeared uniformly over one of the transverse directions, can have a Gregory-Laflamme type dynamical instability in the smeared direction even when the solution is locally thermodynamically stable. These thus provide counterexamples to the Gubser-Mitra conjecture, which links local dynamical and thermodynamic stability. The existence of a dynamical instability is demonstrated by exploiting an ansatz due to Harmark and Obers, which relates charged solutions to neutral ones.

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